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Finding the Fourth Proportional to 4,237.60, 6,356.64 and 1,772

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Solution

The fourth proportional to 4,237.60, 6,356.64 and 1,772 is: 2,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.60 : 6,356.64 = 1,772 : x
  2. Step 2: Convert to fraction form
    4,237.60/6,356.64 = 1,772/x
  3. Step 3: Cross multiply
    4,237.60x = 6,356.64 × 1,772
  4. Step 4: Simplify right side
    4,237.60x = 11,263,966.08
  5. Step 5: Solve for x
    x = 11,263,966.08/4,237.60
  6. Step 6: Final answer
    x = 2,658.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.